Correct Answer - Option 3 : 11
Given∶
Ratio of two numbers = 5 ∶ 6
3 is subtracted from both number; find ratio = 2 ∶ 3
Formula Used∶
a ∶ b = c ∶ d
Product of Extremes = Product of Means
Calculation∶
Given ratio = 5 ∶ 6
Let the numbers be 5x and 6x; Sum of the numbers = 5x + 6x = 11x
According to Question,
(5x - 3) ∶ (6x - 3) = 2 ∶ 3
⇒ 15x - 9 = 12x - 6
⇒ 15x - 12x = 9 - 6
⇒ 3x = 3
⇒ x = 1
Sum of numbers = 11x = 11 × 1 = 11
∴ The required sum is 11.